Math

Mathematics 8th Grade (2nd semester)

$250.00
Rated 0 out of 5
Course Description Mathematics 8th Grade helps students to see the power of mathematics in everyday life. The course begins with a review of percentages and proportions, applying these concepts to conversion factors and emphasizing English and metric measurements. Work with linear equations includes computing rates of change, finding intercepts, graphing linear functions, and describing the action of a line. Number patterns and sequences foster a study of arithmetic and geometric means as students learn to find missing terms in sequences. An investigation of the Cartesian plane teaches students how to work with scale drawings, dilations, and graphs. Students learn about the properties of triangles, the Pythagorean Theorem, and the properties of parallel lines cut by a transversal. With pie charts, bar graphs, histograms, scatter plots, and other linear models, students explore probability and make predictions and correlations. Students apply the concepts of independent and dependent events, odds, combinations, permutations, and factorials to situations ranging from playing cards to determining the number of different outfits they have in their closets. Course Breakdown Sequences Slope Graphs of lines Systems of linear equations Linear inequalities Angles formed by a transversal Triangles Distance between two points Similar figures Congruent triangles Data displays Statistics Probability Counting techniques Course Goals Identify missing terms in sequences. Determine the slope of a line, given a graph or a pair of points. Construct and solve systems of equations using a variety of solution methods. Identify the types and measures of angles in a given image. Perform transformations on figures. Identify the postulate which proves a pair of triangles congruent. Construct various types of statistical graphs to model sets of data. Determine the probabilities of multiple events.
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Mathematics 8th Grade [Credit Recovery]

$250.00
Rated 0 out of 5
Course Description Mathematics 8th Grade helps students to see the power of mathematics in everyday life. The course begins with a review of percentages and proportions, applying these concepts to conversion factors and emphasizing English and metric measurements. Work with linear equations includes computing rates of change, finding intercepts, graphing linear functions, and describing the action of a line. Number patterns and sequences foster a study of arithmetic and geometric means as students learn to find missing terms in sequences. An investigation of the Cartesian plane teaches students how to work with scale drawings, dilations, and graphs. Students learn about the properties of triangles, the Pythagorean Theorem, and the properties of parallel lines cut by a transversal. With pie charts, bar graphs, histograms, scatter plots, and other linear models, students explore probability and make predictions and correlations. Students apply the concepts of independent and dependent events, odds, combinations, permutations, and factorials to situations ranging from playing cards to determining the number of different outfits they have in their closets. Course Breakdown Exponents and scientific notation Operations with rational numbers Percentages and proportions Linear equations Surface area and volume Sequences Graphing linear functions Solving systems of equations Solving linear inequalities Triangle theorems Geometric transformations Data displays Probability Course Goals Simplify algebraic expressions by utilizing exponent properties. Evaluate expressions with rational numbers. Simplify radical expressions. Solve linear equations by using various strategies. Identify missing terms in arithmetic and geometric sequences. Identify the slopes and intercepts of linear equations in order to graph them. Solve systems of linear equations by utilizing numerous strategies. Determine the measures of missing exterior and interior angles. Perform transformations on figures. Determine the probabilities of multiple events.
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Middle School Algebra (1st semester)

$250.00
Rated 0 out of 5
Course Description How do you write, simplify, and solve equations? How can you display data so it can be easily interpreted and understood? In Algebra, students learn how to translate phrases into expressions, and sentences into equations and inequalities, expressing them in their simplest forms. Students find solutions to equations by graphing them on number lines or on the coordinate plane. Students learn the value of finding the best tool for the job as they acquire different strategies to use in various situations, such as finding the slope of a line, solving a system of equations or inequalities, or factoring polynomials. Building on this knowledge, students apply transformations to polynomial functions, explore inverses and one-to-one functions, and examine exponential and logarithmic functions. Work in statistics includes organizing and analyzing data; making stem-and-leaf plots; finding mean, mode, and median; making box-and-whisker plots; and recognizing misleading graphs. At the completion of this course, students are prepared for additional math courses in middle and high school. Course Breakdown Real number operations Algebraic expressions and equations Order of operations Real number properties Translating and solving linear equations Percentage, distance, rate, time, and mixture formulas Writing, graphing, and solving linear inequalities Graphing relationships Inverses of functions Properties of graphs Rates of change Slope-intercept form Point-slope form Solutions of systems of equations and inequalities Course Goals Apply the order of operations to evaluate expressions. Solve one-step and multistep equations using different operations. Solve one-step and multistep linear inequalities using different operations. Recognize functions and different aspects of their graphs. Interpret the different parts of slope-intercept and point-slope forms of equations. Demonstrate the ability to solve systems of equations using different methods.
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Middle School Algebra (2nd semester)

$250.00
Rated 0 out of 5
Course Description How do you write, simplify, and solve equations? How can you display data so it can be easily interpreted and understood? In Algebra, students learn how to translate phrases into expressions, and sentences into equations and inequalities, expressing them in their simplest forms. Students find solutions to equations by graphing them on number lines or on the coordinate plane. Students learn the value of finding the best tool for the job as they acquire different strategies to use in various situations, such as finding the slope of a line, solving a system of equations or inequalities, or factoring polynomials. Building on this knowledge, students apply transformations to polynomial functions, explore inverses and one-to-one functions, and examine exponential and logarithmic functions. Work in statistics includes organizing and analyzing data; making stem-and-leaf plots; finding mean, mode, and median; making box-and-whisker plots; and recognizing misleading graphs. At the completion of this course, students are prepared for additional math courses in middle and high school. Course Breakdown Solving systems of equations and inequalities Applications of systems of equations and inequalities Properties of exponents Simplifying polynomials Factoring trinomials and binomials Identifying quadratic functions Graphing quadratic functions Solving quadratic equations Applications of quadratic functions Exponential and logarithmic functions Sequences Trigonometric functions Tables and graphs of central tendency Course Goals Utilize systems of equations to solve application problems. Simplify polynomials using multiple operations. Apply the different methods of factoring polynomials. Apply different methods of solving quadratic equations based on a given context. Investigate different types of functions, such as exponential, sine, cosine, and tangent functions. Interpret and evaluate various displays of data.
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Pre-Algebra [Competency Based] (1st semester)

$250.00
Rated 0 out of 5
Course Description Pre-Algebra helps students make a successful transition from arithmetic to algebra by focusing on basic concepts of arithmetic and the applications of mathematics. Students learn how to perform operations with integers, fractions, and decimals. Students expand this knowledge to create expressions and to solve basic linear equations and inequalities. Students use their knowledge of fractions to work with ratios, rates, and proportions. Next, students explore how to display visual representations of numbers with bar graphs, histograms, and circle graphs. They take this skill and apply it to algebra as they plot points and basic equations on the coordinate plane. Next, students complete an exploration of measures of central tendency, data displays, and simple probabilities. The course ends with a study of essential topics for future mathematics courses, including unit conversion, angle classification, area, and volumes of geometric figures. The course highlights the math skills needed to be successful in everyday life and prepares students for future mathematics courses. Course Breakdown Whole-number operations Averages Integers Fractions Common denominators Mixed numbers Complex fractions Decimals Decimal multiplication and division Algebraic expressions Operations with algebraic expressions Evaluating expressions Translating Linear equations Operations with equations Course Goals Model and solve problems with rational numbers. Recognize and apply the properties of real numbers. Represent information with fractions. Evaluate algebraic expressions using the order of operations. Simplify algebraic expressions and equations. Translate words into mathematical expressions. Solve algebraic equations using basic calculations and the properties of equality.
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Pre-Algebra [Competency Based] (2nd semester)

$250.00
Rated 0 out of 5
Course Description Pre-Algebra helps students make a successful transition from arithmetic to algebra by focusing on basic concepts of arithmetic and the applications of mathematics. Students learn about integers, fractions, decimals, expressions, equations, ratios, proportions and percentages, inequalities, graphing, probability and statistics, and geometry. The course highlights the math skills needed to be successful in everyday life and prepares students for future mathematics courses. Course Breakdown Ratios Unit rates Proportions Percentages Sales tax and price Commission Simple interest Compound interest Inequalities Compound inequalities Pictographs Bar graphs Histograms Circle graphs Equations in two variables Graphing linear inequalities and equations Slope-intercept form Scatter plots Mean, median, and mode Box-and-whisker plots Stem-and-leaf plots Independent and dependent events Length Time Converting between US and metric measurements Lines and angles Complementary and supplementary angles Perimeter, area, surface area, and volume Polygons Course Goals Recognize and represent proportional relationships between quantities. Represent decimals, ratios, and proportions as percentages. Perform calculations using percentages. Write and solve linear inequalities. Graph linear equations and inequalities. Make inferences about populations based on basic statistical analysis. Determine and approximate the relative frequencies and probabilities of events occurring. Solve mathematical problems involving angles, perimeters, areas, and volumes of two- and three-dimensional objects.
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Pre-Algebra [Credit Recovery]

$250.00
Rated 0 out of 5
Course Description Pre-Algebra helps students make a successful transition from arithmetic to algebra by focusing on basic concepts of arithmetic and the applications of mathematics. Students learn how to perform operations with integers, fractions, and decimals. Students expand this knowledge to create expressions and to solve basic linear equations and inequalities. Students use their knowledge of fractions to work with ratios, rates, and proportions. Next, students explore how to display visual representations of numbers with bar graphs, histograms, and circle graphs. They take this skill and apply it to algebra as they plot points and basic equations on the coordinate plane. Next, students complete an exploration of measures of central tendency, data displays, and simple probabilities. The course ends with a study of essential topics for future mathematics courses, including unit conversion, angle classification, area, and volumes of geometric figures. The course highlights the math skills needed to be successful in everyday life and prepares students for future mathematics courses. Course Breakdown Operations with integers Factors and exponents Decimals, fractions, and scientific notation Expressing and solving linear equations Ratios and proportions Data displays Graphing linear equations on the coordinate plane Graphing linear inequalities Scatter plots Measures of central tendency Probability Course Goals Perform basic mathematical operations on real numbers. Convert and compare decimals to fractions. Represent numbers using scientific notation. Write and solve linear equations. Use ratios to compare two quantities and solve for unknown values. Solve for proportional and inversely proportional relationships. Represent data using pictographs, bar graphs, scatter plots, and histograms. Graph linear equations and inequalities. Describe the correlation between two variables.
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Pre-Calculus [Competency Based] (1st semester)

$250.00
Rated 0 out of 5
Course Description Pre-Calculus helps students gain the knowledge they need for success in calculus and other high-level math courses. Students focus on a variety of functions, including their solutions, characteristics, and graphs. They explore the inverse relationship between exponential and logarithmic functions. Students learn how to use advanced methods to solve systems of equations. Next, students work with trigonometric functions as they graph, find values with the unit circle, verify identities, and solve trigonometric equations. Students then work with series and sequences and relate certain types of functions to arithmetic and geometric sequences. Students end the course by learning about vectors, conic sections, and polar coordinates. By the end of this course, students gain knowledge and appreciation for higher-level math concepts and their applications. Course Breakdown Quadratic functions Polynomial functions Complex numbers Rational functions Exponents and logarithms Systems of equations Linear programming Matrix operations Course Goals Analyze, evaluate, and graph functions. Apply rigid transformations and reflections to graphs of functions. Perform and apply calculations using imaginary and complex numbers. Analyze, evaluate, and graph rational functions. Employ concepts of key algebraic theorems to solve problems. Simplify, evaluate, and graph exponential and logarithmic equations. Model real-world data by using exponential and logarithmic equations. Solve and apply systems of equations. Construct and perform operations with matrices.
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Pre-Calculus [Competency Based] (2nd semester)

$250.00
Rated 0 out of 5
Course Description Pre-Calculus helps students gain the knowledge they need for success in calculus and other high-level math courses. Students focus on a variety of functions, including their solutions, characteristics, and graphs. They explore the inverse relationship between exponential and logarithmic functions. Students learn how to use advanced methods to solve systems of equations. Next, students work with trigonometric functions as they graph, find values with the unit circle, verify identities, and solve trigonometric equations. Students then work with series and sequences and relate certain types of functions to arithmetic and geometric sequences. Students end the course by learning about vectors, conic sections, and polar coordinates. By the end of this course, students gain knowledge and appreciation for higher-level math concepts and their applications. Course Breakdown Unit circle Trigonometric ratios Graphs of trigonometric functions Applications of trigonometric functions Trigonometric identities and laws Sequences and series Counting principles Probability Vectors Ellipses and parabolas Course Goals Apply radian and degree measures of angles and the unit circle to analyze trigonometric functions. Choose trigonometric functions to model periodic behavior, and describe the properties of their graphs. Apply the properties of trigonometric ratios and special right triangles to solve problems. Verify basic trigonometric identities and simplify expressions using these and other trigonometric identities. Evaluate and solve trigonometric equations. Construct and evaluate arithmetic and geometric sequences. Calculate partial and infinite sums of mathematical sequences. Apply methods of probability calculation to real-world examples. Analyze and compute basic calculations involving vectors. Construct and analyze equations for conic sections, as well as interpret their graphs.
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Pre-Calculus [Credit Recovery]

$250.00
Rated 0 out of 5
Course Description Pre-Calculus helps students gain the knowledge they need for success in calculus and other high-level math courses. Students focus on a variety of functions, including their solutions, characteristics, and graphs. They explore the inverse relationship between exponential and logarithmic functions. Students learn how to use advanced methods to solve systems of equations. Next, students work with trigonometric functions as they graph, find values with the unit circle, verify identities, and solve trigonometric equations. Students then work with series and sequences and relate certain types of functions to arithmetic and geometric sequences. Students end the course by learning about vectors, conic sections, and polar coordinates. By the end of this course, students gain knowledge and appreciation for higher-level math concepts and their applications. Course Breakdown Working with functions Complex numbers Solutions to polynomials Exponential and logarithmic properties Systems of equations Matrices Angles and the unit circle Graphs of trigonometric functions Trigonometric identities Solving trigonometric equations Sequences and series Vectors Conic sections Course Goals Find inverse functions algebraically and graphically and determine their domains, ranges, and asymptotes. Solve direct, inverse, combined, and joint variation problems. Demonstrate the ability to use the remainder theorem and the factor theorem. Perform operations on complex numbers. Solve systems of equations using a variety of methods. Demonstrate the ability to solve problems using the unit circle. Compare and contrast trigonometric functions and their inverses. Use summation notation while working with arithmetic and geometric sequences and sums. Use the binomial theorem, the counting principle, and permutation and combination formulas to calculate probabilities. Find magnitudes, direction angles, dot products, and angles between two vectors.
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Probability and Statistics [Competency Based] (2 course bundle)

$250.00
Rated 0 out of 5
Course Description Probability [Competency Based] In this course, students take a comprehensive and engaging look at the field of probability. They begin by learning the basic terms, types, theories and rules of probability. Next, the course covers random outcomes and normal distributions, as well as binomial probabilities. Finally, students learn about geometric probability, sampling distribution, populations, and the central limit theorem. By the end of this course, students gain a knowledge of and appreciation for the field of probability and its uses in everyday life Statistics [Competency Based] Statistics opens students’ eyes to the many uses of statistics in the real world—from sports and the weather to health and politics. Students learn basic concepts, how to use graphs to represent data, and ways to analyze data. They explore statistical relationships, including the use of correlations, residuals and residual plots, and scatter plots. Finally, students learn how to model nonlinear relationships by using exponential and logarithmic functions and how to design a sample to produce the correct type of data (observational or experimental). By the end of this course, students gain a knowledge of and appreciation for the field of statistics and its applications in the real world. Course Breakdown Lesson Assessments – 30% Quizzes – 25% Review Assignments – 10% Exams – 35% Collecting and interpreting data Normal distributions Scatter plots Regression Exponential and logarithmic data Samples and experimental design Course Goals Analyze rules and notation used in probability. Explore sampling and applications in various populations. Apply the probability rules to a variety of applications. Investigate different variables used in probability concepts. Analyze different ways to collect and interpret data. Apply data distribution to a variety of problems. Evaluate sampling methods and experimental design to conduct and interpret research.
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Trigonometry [Competency Based]

$250.00
Rated 0 out of 5

Course Description

Trigonometry explores trigonometric functions and practical applications of trigonometry, such as solving real-life problems through engineering, physics, construction, and design. Students investigate graphs, linear functions, quadratic functions, trigonometric functions, analytical trigonometry, analytical geometry, vectors, and advanced functions. Students develop critical-thinking skills and learn problem-solving techniques to help them succeed in understanding and applying trigonometric principles. By the end of this course, students gain knowledge of and appreciation for trigonometry and problem solving, which will prepare them for future mathematics courses.

Course Breakdown

  • Degree and radian measure
  • The unit circle
  • Solving trigonometric functions
  • Verifying trigonometric identities
  • Reference angles
  • Graphs and translations of trigonometric functions
  • Inverse trigonometric functions
  • Directional bearings
  • Harmonic motion Trigonometric identities
  • Trigonometric equations
  • Sum, difference, and multiple-angle formulas
  • Laws of sines and cosines
  • Conic sections
  • Polar coordinates
  • Parametric equations
  • Vectors

Course Goals

  1. Analyze the unit circle and its relation to trigonometric functions.
  2. Construct graphs of trigonometric functions and identify their key components.
  3. Explore the effects of operations between functions. Apply trigonometric identities and formulas to solve problems.
  4. Create equations of conic sections, given a set of requirements.
  5. Investigate exponential and logarithmic functions.
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